导弹滑行出箱过程中颤动现象的建模与分析
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V19;TJ760.9;TH117.1

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国家自然科学基金资助项目(11602306)


Modeling and Analysis of Chattering Phenomenon During Missile Sliding in the Launch Box
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    摘要:

    为了深入研究导弹在发射箱内滑行产生的颤动现象,建立了基于Stribeck摩擦模型的质量块-传输带干摩擦动力学模型,利用静、动摩擦转换时摩擦力降落引起的负阻尼力激发系统的自激颤动现象。通过对运动方程进行稳定性分析,得到平衡点失去渐进稳定特性并产生自激颤动的临界速度。利用数值方法求解常微分方程得到相平面内的相轨迹,仿真证明系统存在稳定的极限环、发生了自激颤动。通过试验曲线与仿真曲线的对比,阐明了导弹发动机燃气喷流、发射箱内燃气绕流和发射车底盘振动等强干扰因素对不稳定周期运动的影响。最后,给出了工程上切实可行的摩擦控制、颤动抑制的方法,这对地面箱/轨式发射导弹具有较大的参考价值。

    Abstract:

    To further investigate the chattering phenomenon of missile during its sliding in the launch box, the dynamic model of mass-transfer zone with dry-friction characteristics is established, using Stribeck model to simulate friction and damping characteristics between the missile and the rail of launch box, using the negative damping force from the transfer between the static and dynamics friction to excite the chattering phenomenon. Then, through analyzing the stability of motion equation, the critical velocity of forming the chattering phenomenon can be obtained, which comes from the instability of the equilibrium point. At the same time, the phase trajectory of the phase plane is obtained, by using the numerical solution of ordinary differential equations. The results of numerical simulation prove the existence of stable limit cycle in the analytic system, and the self-excited vibration. Through comparing the test curves and simulation curves, the influence of jet-flow of missile, gas flow inside the launch box and chassis vibration of the launching vehicle on unstable periodic motion can be realized. Finally, the engineering method is proposed, which can control the friction and restrain the chattering, and which has great reference value for the launch of missile ground with similar launch mode.

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  • 在线发布日期: 2018-05-10
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